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Finding the Fourth Proportional to 34,122.96, 47,092.05 and 20,694.78

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Solution

The fourth proportional to 34,122.96, 47,092.05 and 20,694.78 is: 28,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.96 : 47,092.05 = 20,694.78 : x
  2. Step 2: Convert to fraction form
    34,122.96/47,092.05 = 20,694.78/x
  3. Step 3: Cross multiply
    34,122.96x = 47,092.05 × 20,694.78
  4. Step 4: Simplify right side
    34,122.96x = 974,559,614.50
  5. Step 5: Solve for x
    x = 974,559,614.50/34,122.96
  6. Step 6: Final answer
    x = 28,560.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.